(10d^3+d^2-7d+2)y=0

解答

(10 d^{3} + d^{2} - 7 d + 2) y = 0

y = c_{1} e^{- x} + c_{2} e^{\frac{2 x}{5}} + c_{3} e^{\frac{x}{2}}

求解步骤

(10 d^{3} + d^{2} - 7 d + 2) y = 0

求解线性方程:

y = c_{1} e^{- x} + c_{2} e^{\frac{2 x}{5}} + c_{3} e^{\frac{x}{2}}

y = c_{1} e^{- x} + c_{2} e^{\frac{2 x}{5}} + c_{3} e^{\frac{x}{2}}